Question

a rectangular Garden is 18m 72cm long and 13m 20cm broad. it is to be paved with square tiles of the same size. Find the least possible number of such tiles aur how many terms are used?​

Answer 1

Answer:

4290

Step-by-step explanation:

Given dimensions of rectangular garden:

Length = 18 m 72 cm = 1872 cm

Breadth = 13 m 20 cm = 1320 cm.

In order to find the square tile of maximum side, we take HCF of 1872 and 1320.

Prime factorization of 1872 = 2^4 * 3^2 * 13

Prime factorization of 1320 = 2^3 * 3 * 5 * 11

So, maximum edge of square tile = HCF(1872, 1320) = 24

Area of the square tile = 24² = 576 cm²

∴ Number of tiles = (1872 * 1230)/576

                             = 4290.

Therefore, Least number of possible tiles = 4290.

Hope it helps!